I just read on the ALGTOP discussion list that Morel has announced a proof of the Friedlander conjecture. Question: Are there other applications besides the Milnor conjecture $H_*(G,F_p)=H_*(BG,F_p)$ for complex algebraic groups $G$? And, for an outsider to algebraic geometry, what is the motivation to consider etale cohomology and how does it relate to ordinary cohomology, i.e. how does Friedlander imply Milnor?
As indicated by D. Roberts, see the video of Morel's talk at the Abel Conference in honour of Milnor held very recently!
Also, see Friedlander's own historical survey!